Signal Processing and Data Analysis

Table of Content:
Chapter 1 Concepts and theoretical background in signals and systems
1.1 Introduction
1.2 Key concepts
1.3 Linear time invariant system and convolution
1.4 Characteristics of linear time invariant system
Chapter 2 Fourier transform and frequency domain analysis
2.1 Introduction
2.2 Fourier series for continuous -time system
2.3 Fourier series for discrete -time system
2.4 Fourier transform for continuous -time system
2.5 Fourier transform for discrete -time system
2.6 Frequency domain analysis for signals and systems
Chapter 3 Laplace transform and complex frequency domain analysis
3.1 Introduction
3.2 Laplace transform
3.3 Continuous -time signal and complex frequency domain analysis
3.4 Z transform
3.5 Discrete -time signal and complex frequency domain analysis
Chapter 4 Discretization of continuous -time signal and serialization of discrete-time signal
4.1 Introduction
4.2 Sampling continuous -time signal
4.3 Interpolation and fitting for discrete-time signal
Chapter 5 Discrete Fourier transform and fast Fourier transform
5.1 Introduction
5.2 Discrete Fourier transform
5.3 Problems in discrete Fourier transform
5.4 Two dimensional Fourier transform
5.5 Fast Fourier transform
5.6 Application of Fast Fourier transform
Chapter 6 Digital filter and design
6.1 Introduction
6.2 Digital filter structure
6.3 Infinite impulse response filter
6.4 Finite impulse response filter
6.5 Lattice structure for digital filter
6.6 Infinite impulse response filter design
6.7 Finite impulse response filter design
Chapter 7 Finite-length effect in digital signal processing
7.1 Introduction
7.2 Analog to digital converter
7.3 Quantification of digital filter
7.4 Finite-length effect in digital filter calculation
7.5 Finite-length effect in discrete Fourier transform
Chapter 8 Error analysis and signal pre-treatment
8.1 Introduction
8.2 Concept and classification of error
8.3 uncertainty of measurement
8.4 Least square

Tianshuang Qiu, Dalian University of Technology, Dalian, Ying Guo, Shenyang University of Technology, Shenyang, China